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14297095322500 = 225447216092
BaseRepresentation
bin1101000000001100110101…
…0010011011101110000100
31212121210022011012002001111
43100003031102123232010
53333220422400310000
650223554522534404
73003634231051414
oct320031522335604
955553264162044
1014297095322500
114612400648771
12172aa58367404
137c9297064a73
14375da98dc644
1519bd78596cba
hexd00cd49bb84

14297095322500 has 135 divisors (see below), whose sum is σ = 31964117668329. Its totient is φ = 5593682064000.

The previous prime is 14297095322473. The next prime is 14297095322551. The reversal of 14297095322500 is 522359079241.

The square root of 14297095322500 is 3781150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2522754069124 + 11774341253376 = 1588318^2 + 3431376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8885701696 + ... + 8885703304.

Almost surely, 214297095322500 is an apocalyptic number.

14297095322500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14297095322500 is the 3781150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14297095322500

14297095322500 is an abundant number, since it is smaller than the sum of its proper divisors (17667022345829).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14297095322500 is an frugal number, since it uses more digits than its factorization.

14297095322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

Multiplying 14297095322500 by its sum of digits (49), we get a square (700557670802500 = 264680502).

The spelling of 14297095322500 in words is "fourteen trillion, two hundred ninety-seven billion, ninety-five million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 625 940 1175 1250 1609 2209 2350 2500 3218 4418 4700 5875 6436 8045 8836 11045 11750 16090 22090 23500 29375 32180 40225 44180 55225 58750 75623 80450 110450 117500 151246 160900 201125 220900 276125 302492 378115 402250 552250 756230 804500 1005625 1104500 1380625 1512460 1890575 2011250 2588881 2761250 3554281 3781150 4022500 5177762 5522500 7108562 7562300 9452875 10355524 12944405 14217124 17771405 18905750 25888810 35542810 37811500 47264375 51777620 64722025 71085620 88857025 94528750 121677407 129444050 177714050 189057500 243354814 258888100 323610125 355428100 444285125 486709628 608387035 647220250 888570250 1216774070 1294440500 1618050625 1777140500 2221425625 2433548140 3041935175 3236101250 4442851250 5718838129 6083870350 6472202500 8885702500 11437676258 12167740700 15209675875 22875352516 28594190645 30419351750 57188381290 60838703500 76048379375 114376762580 142970953225 152096758750 285941906450 304193517500 571883812900 714854766125 1429709532250 2859419064500 3574273830625 7148547661250 14297095322500